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11140311222342 = 2334167131573289
BaseRepresentation
bin1010001000011100111001…
…0010110000100001000110
31110110000002102222021212000
42202013032102300201012
52430010324133103332
635405442140010130
72226601203662361
oct242071622604106
943400072867760
1011140311222342
113605641291aa5
1212bb097830946
1362a6b0612b83
142a72a02590d8
15144bb98a4b7c
hexa21ce4b0846

11140311222342 has 128 divisors (see below), whose sum is σ = 25935089241600. Its totient is φ = 3541543948800.

The previous prime is 11140311222307. The next prime is 11140311222347. The reversal of 11140311222342 is 24322211304111.

11140311222342 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 0 + 311 + 2 + 2 + 2 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140311222347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19145634 + ... + 19718922.

It is an arithmetic number, because the mean of its divisors is an integer number (202617884700).

Almost surely, 211140311222342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11140311222342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12967544620800).

11140311222342 is an abundant number, since it is smaller than the sum of its proper divisors (14794778019258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11140311222342 is a wasteful number, since it uses less digits than its factorization.

11140311222342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573539 (or 573533 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11140311222342 its reverse (24322211304111), we get a palindrome (35462522526453).

The spelling of 11140311222342 in words is "eleven trillion, one hundred forty billion, three hundred eleven million, two hundred twenty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 67 82 123 131 134 201 246 262 369 393 402 603 738 786 1107 1179 1206 1809 2214 2358 2747 3537 3618 5371 5494 7074 8241 8777 10742 16113 16482 17554 24723 26331 32226 48339 49446 52662 74169 78993 96678 145017 148338 157986 236979 290034 359857 473958 573289 719714 1079571 1146578 1719867 2159142 3238713 3439734 5159601 6477426 9716139 10319202 15478803 19432278 23504849 30957606 38410363 47009698 70514547 75100859 76820726 115231089 141029094 150201718 211543641 225302577 230462178 345693267 423087282 450605154 634630923 675907731 691386534 1037079801 1269261846 1351815462 1574824883 2027723193 2074159602 3079135219 3149649766 4055446386 4724474649 5031757553 6158270438 9237405657 9448949298 10063515106 14173423947 15095272659 18474811314 27712216971 28346847894 30190545318 42520271841 45285817977 55424433942 83136650913 85040543682 90571635954 135857453931 166273301826 206302059673 271714907862 412604119346 618906179019 1237812358038 1856718537057 3713437074114 5570155611171 11140311222342